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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Localizability in de Sitter space

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Author(s):
Yokomizo, N. [1] ; Barata, J. C. A. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 45, n. 36 SEP 14 2012.
Web of Science Citations: 2
Abstract

An analogue of the Newton-Wigner position operator is defined for a massive neutral scalar field in de Sitter space. The one-particle subspace of the theory, consisting of positive-energy solutions of the Klein-Gordon equation selected by the Hadamard condition, is identified with an irreducible representation of the de Sitter group. Postulates of localizability analogous to those written by Wightman for fields in Minkowski space are formulated on it, and a unique solution is shown to exist. Representations in both the principal and the complementary series are considered. A simple expression for the time evolution of the Newton-Wigner operator is presented. (AU)